Merced Montesinos
Professor of Physics

National Researcher of the National Research Council of Mexico. Membership: Level 3 (highest possible level)

Ph.D., Cinvestav, 1997
Research Specialty: Quantum Gravity, Gauge Theories, Constrained Systems, Canonical Quantization, Mathematical Physics.


I am currently interested in the foundations of classical and quantum dynamics of physical systems from the Lagrangian and Hamiltonian viewpoints, particularly with some issues involved in the classical and quantum dynamics of the degrees of freedom of gravity. These latter issues involve-but are not limited to-the study of topological field theories of the BF type in various spacetime dimensions, reformulations of general relativity as a constrained BF theory, the problem of time in general relativity, quantum gravity in the loop quantum gravity approach, etc.

Recent Publications:

  1. M. Celada, D. González, and M. Montesinos, Plebanski-like action for general relativity and anti-self-dual gravity, Phys. Rev. D XX, YYYYYY (to appear) download PDF
  2. M. Celada, M. Montesinos, and J. Romero, Barbero's formulation from a BF-type action with the Immirzi parameter, Class. Quantum Grav. XX, YYYYYY (to appear) download PDF
  3. M. Celada, D. González, and M. Montesinos, Alternative derivation of Krasnov's action for general relativity, Phys. Rev. D 92, 044059 (2015) download PDF
  4. D. González and M. Montesinos, Gauge connection formulations for general relativity, Phys. Rev. D 91, 024021 (2015) download PDF
  5. M. Á. García-Ariza, M. Montesinos, and G.F. Torres del Castillo, Geometric thermodynamics: black holes and the meaning of the scalar curvature, Entropy 16, 6515 (2014) download PDF
  6. B. Díaz, D. Higuita, and M. Montesinos, Lagrangian approach to the physical degree of freedom count, J. Math. Phys. 55, 122901 (2014) download PDF
  7. M. Celada and M. Montesinos, Lorentz-covariant Hamiltonian analysis of BF gravity with the Immirzi parameter, Class. Quantum Grav. 29, 205010 (2012) download PDF
  8. M. Montesinos and M. Velázquez, BF gravity with Immirzi parameter and matter fields, Phys. Rev. D 85, 064011 (2012) download PDF
  9. M. Montesinos and M. Velázquez, Equivalent and alternative forms for BF gravity with Immirzi parameter, Symmetry, Integrability, and Geometry: Methods and Applications (SIGMA) 7, 103 (2011) download PDF
  10. A. Gallardo and M. Montesinos, The boundary field theory induced by the Chern-Simons theory, J. Phys. A: Math. Theor. 44, 135402 (2011) download PDF
  11. R. Capovilla, M. Montesinos, and M. Velázquez, Minimally modified self-dual 2-forms gravity, Class. Quantum Grav. 27, 145011 (2010) download PDF
  12. L. Liu, M. Montesinos, and A. Perez, Topological limit of gravity admitting an SU(2) connection formulation, Phys. Rev. D 81, 064033 (2010) download PDF
  13. M. Montesinos and M. Velázquez, BF gravity with Immirzi parameter and cosmological constant, Phys. Rev. D 81, 044033 (2010) download PDF
  14. V. Cuesta, M. Montesinos, M. Velázquez, and J.D. Vergara, Topological field theories in n-dimensional spacetimes and Cartan's equations, Phys. Rev. D 78, 064046 (2008) download PDF
  15. M. Montesinos and A. Perez, Two-dimensional topological field theories coupled to four-dimensional BF theory, Phys. Rev. D 77, 104020 (2008) download PDF
  16. A. Pérez-Lorenzana, M. Montesinos, and T. Matos, Unification of cosmological scalar fields, Phys. Rev. D 77, 063507 (2008) download PDF
  17. V. Cuesta and M. Montesinos, Cartan's equations define a topological field theory of the BF type, Phys. Rev. D 76, 104004 (2007) download PDF
  18. V. Cuesta, M. Montesinos, and J.D. Vergara, Gauge invariance of the action principle for gauge systems with noncanonical symplectic structures, Phys. Rev. D 76, 025025 (2007) download PDF
  19. M. Montesinos and G.F. Torres del Castillo, Reply to Comment on Symplectic quantization, inequivalent quantum theories, and Heisenberg's principle of uncertainty, Phys. Rev. A 75, 066102 (2007) download PDF
  20. M. Montesinos, Alternative symplectic structures for SO(3,1) and SO(4) four-dimensional BF theories, Class. Quantum Grav. 23, 2267 (2006) download PDF
  21. M. Mondragón and M. Montesinos, Covariant canonical formalism for four-dimensional BF theory, J. Math. Phys. 47, 022301 (2006) download PDF

Supervised Ph.D. Theses:

  1. Daniela Magos Cortes, Ph.D., Cinvestav, in progress
  2. Rodrigo Humberto Romero Aguilar, Ph.D., Cinvestav, in progress
  3. Jorge Luis Romero Guerra, Ph.D., Cinvestav, in progress
  4. Miguel Ángel García Ariza, Ph.D., Benemérita Universidad Autónoma de Puebla (BUAP), in progress
  5. Bogar Díaz Jiménez, Ph.D., Benemérita Universidad Autónoma de Puebla (BUAP), in progress
  6. Mariano Alexander Celada Martínez, Ph.D., Cinvestav, in progress
  7. Diego Giovanni González Vallejo, Geometrical aspects of 2-forms gravity, Ph.D., Cinvestav, 2015
  8. Mercedes Paulina Velázquez Quesada, BF gravity, matter couplings, and related theories, Ph.D., Cinvestav, 2011 (2012 Weizmann Prize for the Best Ph.D. Thesis in Exact Sciences)
  9. Arturo Alejandro Gallardo Lozada, Dinámicas de bulto y de frontera, Ph.D., Cinvestav, 2011
  10. Vladimir Cuesta Sánchez, Algunas aplicaciones de la geometría simpléctica en la física matemática, Ph.D., Cinvestav, 2007

Supervised M.Sc. Theses:

  1. Vicente Vargas García, Gravedad tipo BF en dos dimensiones, M.Sc., Cinvestav, 2014
  2. Jorge Humberto Felipe Matías, Gravedad en tres dimensiones en términos de conexiones, M.Sc., Cinvestav, 2014
  3. Alberto Efraín Morales Avelino, Gravedad degenerada en tres dimensiones, M.Sc., Cinvestav, 2014
  4. Jorge Luis Romero Guerra, Gravedad tipo BF canónica, M.Sc., Cinvestav, 2014
  5. Daniel Fernando Higuita Borja, Lagrangian approach to the physical degree of freedom count, M.Sc., Cinvestav, 2012
  6. Diego Giovanni González Vallejo, Gravedad de 2-formas, M.Sc., Cinvestav, 2011
  7. Mariano Alexander Celada Martínez, Análisis hamiltoniano de gravedad a la BF, M.Sc., Cinvestav, 2011
  8. Ricardo Magaña Villalba, Análisis hamiltoniano del término agregado por Holst a la lagrangiana de Palatini, M.Sc., Cinvestav, 2007
  9. Arturo Alejandro Gallardo Lozada, Condiciones de frontera en el formalismo hamiltoniano à la Dirac, M.Sc., Cinvestav, 2006
  10. Aldo Aparicio Martínez Merino, Teoría de Hamilton-Jacobi para sistemas hamiltonianos genuinamente covariantes, M.Sc., Cinvestav, 2005
  11. Vladimir Cuesta Sánchez, Conexiones planas en relatividad general, M.Sc., Cinvestav, 2004
  12. Mauricio Javier Mondragón López, Formalismo canónico covariante de teorías BF en cuatro dimensiones y sistemas parametrizados con un número finito de grados de libertad, M.Sc., Cinvestav, 2003

Supervised B.Sc. Theses:

  1. Alberto Efraín Morales Avelino, Dinámica de la partícula libre relativista, B.Sc., Universidad Autónoma Benito Juárez de Oaxaca (UABJO), 2014
  2. Benito Alberto Juárez Aubry, Scalar field coupling to BF gravity, B.Sc., Universidad de las Américas Puebla (UDLAP), 2011
  3. Ernesto Flores González, Tensor de energía-momentum simétrico sin usar el método de simetrización de Belinfante, B.Sc., Universidad Veracruzana, 2006
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